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Finding the Third Proportional to 256,976 and 558,057

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Solution

The third proportional to 256,976 and 558,057 is: 1,211,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,976 : 558,057 = 558,057 : x
  2. Step 2: Convert to fraction form
    256,976/558,057 = 558,057/x
  3. Step 3: Cross multiply
    256,976x = 558,057 × 558,057
  4. Step 4: Simplify right side
    256,976x = 311,427,615,249
  5. Step 5: Solve for x
    x = 311,427,615,249/256,976
  6. Step 6: Final answer
    x = 1,211,893.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.